Horizontal Range for Projectile

Model ideal flight wey land for the same height wey e start.

Your numbers

Distance travelled horizontally

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Launch and landing heights equal, gravity constant; drag, wind and Earth curvature no dey included.

Formula

Use R = v²sin(2θ)/g and t = 2v sinθ/g. v na launch speed for m/s, θ na elevation for degrees, and g na gravity for m/s². Range R dey for m and flight time t dey for s, if launch and landing heights equal and air resistance no dey.

Model ideal flight wey land for the same height wey e start.

Example wey show the calculation

Speed when object launch (m/s): 20
Launch angle above horizontal (degrees): 45
Di gravity (m/s²): 9.80665

Distance travelled horizontally: 40.7886485191 m
Time wey object spend for air: 2.88419299633 s
Highest rise above launch height: 10.1971621298 m

Where e fit work and limits

Launch and landing heights equal, gravity constant; drag, wind and Earth curvature no dey included.

We check inputs for missing values and allowed ranges. Result wey pass the finite numeric range no go show. Rounding affect wetin display, while calculation use the model numeric precision.

Check your units and assumptions before you rely on result. Changing label no convert currency or physical unit.

Version of di formula: 5cb3f6cc6570 · Example don get check: 2026-10-30

Method